Let n ˉ be a vector of magnitude 3 3 such that it makes equal acute angles with the co-ordinate axes. Then the vactor equation of a plane passing through ( 1 , − 1 , 2 ) and normal to n ˉ is

Question

Let n ˉ be a vector of magnitude 3 3 ​ such that it makes equal acute angles with the co-ordinate axes. Then the vactor equation of a plane passing through ( 1 , − 1 , 2 ) and normal to n ˉ is

TestHub · Accepted Answer

​ r ⋅ n = a ⋅ n ⇒ r ⋅ ( i ^ + j ^ ​ + k ^ ) = ( i ^ − j ^ ​ + 2 k ) ⋅ ( i ^ + j ^ ​ + k ^ ) ⇒ r ⋅ ( i ^ + j ^ ​ + k ^ ) = 2 ⇒ r ⋅ ( 3 i ^ + 3 j ^ ​ + 3 k ^ ) = 6 ​

Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

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